12815824817 has 2 divisors, whose sum is σ = 12815824818. Its totient is φ = 12815824816.

The previous prime is 12815824783. The next prime is 12815824823. The reversal of 12815824817 is 71842851821.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12734896801 + 80928016 = 112849^2 + 8996^2 .

It is a cyclic number.

It is not a de Polignac number, because 12815824817 - 2¹⁰ = 12815823793 is a prime.

It is not a weakly prime, because it can be changed into another prime (12815824117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6407912408 + 6407912409.

It is an arithmetic number, because the mean of its divisors is an integer number (6407912409).

Almost surely, 2^12815824817 is an apocalyptic number.

It is an amenable number.

12815824817 is a deficient number, since it is larger than the sum of its proper divisors (1).

12815824817 is an equidigital number, since it uses as much as digits as its factorization.

12815824817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 286720, while the sum is 47.

The spelling of 12815824817 in words is "twelve billion, eight hundred fifteen million, eight hundred twenty-four thousand, eight hundred seventeen".